Area
This book details how to find area for the following shapes: a rectangle, triangle, parallelogram, and trapezoid!
Table of Contents
- Area of a rectangle
- Area of a Rectangle
- Area of a Rectangle
- Area of a Rectangle
- Area of a trapezoid
- Area of a Trapezoid
- Trapezoid: Area (I)
- Area of a Trapezoid
- Area of a paralleogram
- Area of a Parallelogram
- Area of a Parallelogram
- Area of a Parallelogram
- Area of a triangle
- Area Of A Triangle
- Area of a Triangle
- Area of a Triangle
Area of a Rectangle
Area of a Rectangle
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Questions:[br][br]1. Adjust the sliders so l = 5 and w = 3. How many squares fit inside the rectangle?[br][br]2. Adjust the sliders so l = 5.5 and w = 3. How many squares fit inside the rectangle now?[br][br]3. When we say that the area of the rectangle is "32 square cm" or "32 cm squared", what do we really mean by that?[br][br]4. What measurements of the rectangle would give you an area of 32 square cm?[br][br]5. What is the formula for the area of a rectangle? Your answer should be in terms of l and w.
Area of a Trapezoid
In this worksheet you will investigate the area of a trapezoid
1) Move the slider and describe the final picture and how it relates to the trapezoid.[br][br]2) Does the relationship from question 1 apply to all trapezoids? (Move point B and the slider to help you)[br][br]3) Using the labels on the trapezoid to make a formula for the area of a trapezoid. (Relate it to a parallelogram)
Area of a Parallelogram
Use this applet to understand the relationship between the formula for the area of a rectangle and the formula for the area of a parallelogram.
Use this applet to understand the relationship between the area formula of a rectangle and the area formula of a triangle.
Area Of A Triangle
Discovering the Area of a Triangle
In this activity, you will investigate how to find the area of a triangle.
Follow the directions below to investigate how to find the area of a triangle.
Investigation:[br]1) Adjust the base slider so that the base is 10 units. [br][br]2) Move point D so that the triangle is a right triangle and note the area of the triangle. [br][br]3) Move the "Hint" slider and identify the new figure. Answer the questions below.
Question 1
What figure was created after you moved the "Hint" slider?
Question 2
What is the area of the new figure that was created when moving the slider?
Investigation:[br][br]1) Make sure the base slider is still located at 10 units. [br][br]2) Move point D to make an obtuse triangle and note the area of the triangle. [br]3) Move the "Hint" slider and identify the new figure. Answer the question below.
Question 3
What figure was created after you moved the "Hint" slider?
Question 4
What is the area of the new figure that was created when moving the slider?
Investigation:[br][br]1) Adjust the base slider so that the base is 10 units. [br][br]2) Move point D so that the triangle is an acute triangle and note the area of the triangle. [br]3) Move the "Hint" slider and identify the new figure. Answer the questions below.
Question 5
What figure was created after you moved the "Hint" slider?
Question 6
What is the area of the new figure that was created when moving the slider?
Question 7
What conclusion can you make based on the area of of the new figures and the area of the three triangles?
Question 8
Your Turn:[br]1) Change the height and the base using values of your choosing. [br]2) Create a right, obtuse, and acute triangle using your chosen base and height.[br]3) Compare the areas.[br][br]How does the area of the quadrilaterals compare to the area of the triangles? Why do you think this is so?